时滞磁悬浮转子系统的动力学特性研究  

Research on Dynamic Characteristics of Magnetic Suspension Rotor System with Time Delay

作　　者：马彦超 金超武[1] 周瑾[1] 徐园平[1] MA Yanchao;JIN Chaowu;ZHOU Jin;XU Yuanping(College of Mechanical and Electrical Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]南京航空航天大学机电学院,江苏南京210016

出　　处：《机械制造与自动化》2023年第1期95-99,共5页Machine Building & Automation

基　　金：国家自然科学基金项目(51875275);江苏省重点研发计划(BE2019122);江苏省第十六批"六大人才高峰"高层次人才资助项目(JNHB-041)。

摘　　要：磁悬浮轴承作为典型的机电一体化产品不可避免地存在一定的时滞,这对系统的稳定性和动态性能有很大影响,导致系统表现出复杂的动力学特性,甚至会出现失稳,因此有必要研究时滞影响下磁悬浮转子系统的动力学特性。建立四自由度磁悬浮转子系统的时滞动力学模型,基于MATLAB进行了数值仿真和相应的试验研究。通过Poincare映射、时域分析等方式分析时滞对转子系统的影响及其所表现出的非线性运动行为。研究结果表明:时滞量的增加将会导致转子位移信号的振幅增大,表现形式趋于复杂,诱发转子系统发生混沌运动,并使转子系统在混沌运动中走向失稳。As a typical mechatronics product,magnetic bearing has a certain time delay,which may have a great impact on the stability and dynamic performance of the system,causing the system to exhibit complex dynamic characteristics and even instability.Hence,it is necessary to study the dynamic characteristics of the magnetic suspension rotor system under the influence of time delay.In this paper,the time-delay dynamic model of the 4-DOF magnetic suspension rotor system is established,and the numerical simulation and corresponding experimental research based on MATLAB are carried out.By means of Poincare mappingand time domain analysis,the influence of time delay on the rotor system is analyzed,and the nonlinear motion phenomenon of the system is determined.The simulation and experimental results show that the increase of time delay will lead to the increase of amplitude and complexity of rotor displacement signal,inducing the chaotic motion of the rotor system and instability in the chaotic motion.

关 键 词：磁悬浮轴承 时滞 非线性 动力学建模 

分 类 号：TP133.3[自动化与计算机技术—控制理论与控制工程]